Starting from a Lie algebroid A over a space V we lift its action to the canonical transformations on the principle affine bundle R over the cotangent bundle T * V. Such lifts are classified by the… (More)

We investigate the classical limit of the Knizhnik-Zamolodchikov-Bernard equations , considered as a system of non-stationar Schröodinger equations on singular curves, where times are the moduli of… (More)

We describe new families of the Knizhnik–Zamolodchikov–Bernard (KZB) equations related to the WZW-theory corresponding to the adjoint G-bundles of different topological types over complex curves Σg,n… (More)